How much does a wild mountain lion weigh? Bill Montana went into the mountains of Idaho and captured 12 random mountain lions. Their weights, in pounds, were the following: 93.0, 109.4, 88.2, 114.5, 83.0, 103.2, 110.7, 128.9, 62.8, 97.9, 94.7, 92.5 Mountain lion weights in Idaho are known to be normally distributed with an unknown mean of μ pounds and an unknown standard deviation o pounds. a) Calculate the sample mean for this data. b) Calculate the sample standard deviation for this data. c) Calculate the maximum likelihood estimate for 2 using this data. d) Calculate an unbiased estimate for ² using this data. e) Calculate the sample median for this data. f) Suppose W has a t distribution with 11 degrees of freedom. If P(W > t) = .08 then what is t? g) Suppose W has a t distribution with 11 degrees of freedom. If P(W

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
icon
Related questions
Question
How much does a wild mountain lion weigh? Bill Montana went into the mountains of Idaho and captured 12 random mountain lions. Their weights, in pounds, were the following:
93.0, 109.4, 88.2, 114.5, 83.0, 103.2, 110.7, 128.9, 62.8, 97.9, 94.7, 92.5
Mountain lion weights in Idaho are known to be normally distributed with an unknown mean of μ pounds and an unknown standard deviation o pounds.
a) Calculate the sample mean for this data.
b) Calculate the sample standard deviation for this data.
c) Calculate the maximum likelihood estimate for 2 using this data.
d) Calculate an unbiased estimate for ² using this data.
e) Calculate the sample median for this data.
f) Suppose W has a t distribution with 11 degrees of freedom. If P(W > t) = .08 then what is t?
g) Suppose W has a t distribution with 11 degrees of freedom. If P(W<t) = .08 then what is t?
h) Calculate the 90th percentile of a standard normal distribution.
i) Compute an 80% confidence interval for μ using your answers above.
j) Compute an 80% prediction interval for using your answers above.
Transcribed Image Text:How much does a wild mountain lion weigh? Bill Montana went into the mountains of Idaho and captured 12 random mountain lions. Their weights, in pounds, were the following: 93.0, 109.4, 88.2, 114.5, 83.0, 103.2, 110.7, 128.9, 62.8, 97.9, 94.7, 92.5 Mountain lion weights in Idaho are known to be normally distributed with an unknown mean of μ pounds and an unknown standard deviation o pounds. a) Calculate the sample mean for this data. b) Calculate the sample standard deviation for this data. c) Calculate the maximum likelihood estimate for 2 using this data. d) Calculate an unbiased estimate for ² using this data. e) Calculate the sample median for this data. f) Suppose W has a t distribution with 11 degrees of freedom. If P(W > t) = .08 then what is t? g) Suppose W has a t distribution with 11 degrees of freedom. If P(W<t) = .08 then what is t? h) Calculate the 90th percentile of a standard normal distribution. i) Compute an 80% confidence interval for μ using your answers above. j) Compute an 80% prediction interval for using your answers above.
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 2 steps with 1 images

Blurred answer
Similar questions
  • SEE MORE QUESTIONS
Recommended textbooks for you
MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
Statistics
ISBN:
9781119256830
Author:
Amos Gilat
Publisher:
John Wiley & Sons Inc
Probability and Statistics for Engineering and th…
Probability and Statistics for Engineering and th…
Statistics
ISBN:
9781305251809
Author:
Jay L. Devore
Publisher:
Cengage Learning
Statistics for The Behavioral Sciences (MindTap C…
Statistics for The Behavioral Sciences (MindTap C…
Statistics
ISBN:
9781305504912
Author:
Frederick J Gravetter, Larry B. Wallnau
Publisher:
Cengage Learning
Elementary Statistics: Picturing the World (7th E…
Elementary Statistics: Picturing the World (7th E…
Statistics
ISBN:
9780134683416
Author:
Ron Larson, Betsy Farber
Publisher:
PEARSON
The Basic Practice of Statistics
The Basic Practice of Statistics
Statistics
ISBN:
9781319042578
Author:
David S. Moore, William I. Notz, Michael A. Fligner
Publisher:
W. H. Freeman
Introduction to the Practice of Statistics
Introduction to the Practice of Statistics
Statistics
ISBN:
9781319013387
Author:
David S. Moore, George P. McCabe, Bruce A. Craig
Publisher:
W. H. Freeman